Logistic function (English Wikipedia)

Yukalov, V. I.; Yukalova, E. P.; Sornette, D. (2009). "Punctuated evolution due to delayed carrying capacity". Physica D: Nonlinear Phenomena. 238 (17): 1752–1767. arXiv:0901.4714. Bibcode:2009PhyD..238.1752Y. doi:10.1016/j.physd.2009.05.011. S2CID 14456352.
Villalobos-Arias, Mario (2020). "Using generalized logistics regression to forecast population infected by Covid-19". arXiv:2004.02406 [q-bio.PE].

books.google.com (Global: 3^rd place; English: 3^rd place)

Verhulst, Pierre-François (1838). "Notice sur la loi que la population poursuit dans son accroissement" (PDF). Correspondance Mathématique et Physique (in French). 10: 113–121. Retrieved 3 December 2014.
Baron de Jomini (1830). Tableau Analytique des principales combinaisons De La Guerre, Et De Leurs Rapports Avec La Politique Des États: Pour Servir D'Introduction Au Traité Des Grandes Opérations Militaires. p. 74.

bu.edu (Global: 2,120^th place; English: 1,328^th place)

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Raymond Pearl & Lowell Reed (June 1920). "On the Rate of Growth of the Population of the United States" (PDF). Proceedings of the National Academy of Sciences of the United States of America. Vol. 6, no. 6. p. 275.

doi.org (Global: 2^nd place; English: 2^nd place)

Cramer 2002, pp. 3–5. Cramer, J. S. (2002). The origins of logistic regression (PDF) (Technical report). Vol. 119. Tinbergen Institute. pp. 167–178. doi:10.2139/ssrn.360300.
- Verhulst, Pierre-François (1847). "Deuxième mémoire sur la loi d'accroissement de la population". Mémoires de l'Académie Royale des Sciences, des Lettres et des Beaux-Arts de Belgique. 20: 1–32. doi:10.3406/marb.1847.3457. Retrieved 18 February 2013.
- Shulman, Bonnie (1998). "Math-alive! using original sources to teach mathematics in social context". PRIMUS. 8 (March): 1–14. doi:10.1080/10511979808965879. The diagram clinched it for me: there two curves labeled "Logistique" and "Logarithmique" are drawn on the same axes, and one can see that there is a region where they match almost exactly, and then diverge.
  I concluded that Verhulst's intention in naming the curve was indeed to suggest this comparison, and that "logistic" was meant to convey the curve's "log-like" quality.
- Kocian, Alexander; Carmassi, Giulia; Cela, Fatjon; Incrocci, Luca; Milazzo, Paolo; Chessa, Stefano (7 June 2020). "Bayesian Sigmoid-Type Time Series Forecasting with Missing Data for Greenhouse Crops". Sensors. 20 (11): 3246. Bibcode:2020Senso..20.3246K. doi:10.3390/s20113246. PMC 7309099. PMID 32517314.
- A. G. McKendricka; M. Kesava Paia1 (January 1912). "XLV.—The Rate of Multiplication of Micro-organisms: A Mathematical Study". Proceedings of the Royal Society of Edinburgh. 31: 649–653. doi:10.1017/S0370164600025426.{{cite journal}}: CS1 maint: numeric names: authors list (link)
- Griffiths, Graham; Schiesser, William (2009). "Linear and nonlinear waves". Scholarpedia. 4 (7): 4308. Bibcode:2009SchpJ...4.4308G. doi:10.4249/scholarpedia.4308. ISSN 1941-6016.
- Yukalov, V. I.; Yukalova, E. P.; Sornette, D. (2009). "Punctuated evolution due to delayed carrying capacity". Physica D: Nonlinear Phenomena. 238 (17): 1752–1767. arXiv:0901.4714. Bibcode:2009PhyD..238.1752Y. doi:10.1016/j.physd.2009.05.011. S2CID 14456352.

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Raul Rojas. Neural Networks – A Systematic Introduction (PDF). Retrieved 15 October 2016.

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Kocian, Alexander; Carmassi, Giulia; Cela, Fatjon; Incrocci, Luca; Milazzo, Paolo; Chessa, Stefano (7 June 2020). "Bayesian Sigmoid-Type Time Series Forecasting with Missing Data for Greenhouse Crops". Sensors. 20 (11): 3246. Bibcode:2020Senso..20.3246K. doi:10.3390/s20113246. PMC 7309099. PMID 32517314.
Griffiths, Graham; Schiesser, William (2009). "Linear and nonlinear waves". Scholarpedia. 4 (7): 4308. Bibcode:2009SchpJ...4.4308G. doi:10.4249/scholarpedia.4308. ISSN 1941-6016.
Yukalov, V. I.; Yukalova, E. P.; Sornette, D. (2009). "Punctuated evolution due to delayed carrying capacity". Physica D: Nonlinear Phenomena. 238 (17): 1752–1767. arXiv:0901.4714. Bibcode:2009PhyD..238.1752Y. doi:10.1016/j.physd.2009.05.011. S2CID 14456352.

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"expit {clusterPower}". inside-R. Revolution Analytics. Archived from the original on 7 May 2016.

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LeCun, Y.; Bottou, L.; Orr, G.; Muller, K. (1998). "Efficient BackProp" (PDF). In Orr, G.; Muller, K. (eds.). Neural Networks: Tricks of the trade. Springer. ISBN 3-540-65311-2. Archived from the original (PDF) on 31 August 2018. Retrieved 16 September 2009.

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Kocian, Alexander; Carmassi, Giulia; Cela, Fatjon; Incrocci, Luca; Milazzo, Paolo; Chessa, Stefano (7 June 2020). "Bayesian Sigmoid-Type Time Series Forecasting with Missing Data for Greenhouse Crops". Sensors. 20 (11): 3246. Bibcode:2020Senso..20.3246K. doi:10.3390/s20113246. PMC 7309099. PMID 32517314.

pubmed.ncbi.nlm.nih.gov

Kocian, Alexander; Carmassi, Giulia; Cela, Fatjon; Incrocci, Luca; Milazzo, Paolo; Chessa, Stefano (7 June 2020). "Bayesian Sigmoid-Type Time Series Forecasting with Missing Data for Greenhouse Crops". Sensors. 20 (11): 3246. Bibcode:2020Senso..20.3246K. doi:10.3390/s20113246. PMC 7309099. PMID 32517314.

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"Sigmoid". PyTorch 1.10.1 documentation. Retrieved 13 October 2025.

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Shulman, Bonnie (1998). "Math-alive! using original sources to teach mathematics in social context". PRIMUS. 8 (March): 1–14. doi:10.1080/10511979808965879. The diagram clinched it for me: there two curves labeled "Logistique" and "Logarithmique" are drawn on the same axes, and one can see that there is a region where they match almost exactly, and then diverge.
I concluded that Verhulst's intention in naming the curve was indeed to suggest this comparison, and that "logistic" was meant to convey the curve's "log-like" quality.

scipy.org (Global: low place; English: low place)

docs.scipy.org

"scipy.special.expit". SciPy v1.7.1 Manual. Retrieved 13 October 2025.

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Tepic, J.; Tanackov, I.; Stojić, Gordan (2011). "Ancient logistics – historical timeline and etymology" (PDF). Technical Gazette. 18 (3). S2CID 42097070. Archived from the original (PDF) on 9 March 2019.
Yukalov, V. I.; Yukalova, E. P.; Sornette, D. (2009). "Punctuated evolution due to delayed carrying capacity". Physica D: Nonlinear Phenomena. 238 (17): 1752–1767. arXiv:0901.4714. Bibcode:2009PhyD..238.1752Y. doi:10.1016/j.physd.2009.05.011. S2CID 14456352.

pdfs.semanticscholar.org

Tepic, J.; Tanackov, I.; Stojić, Gordan (2011). "Ancient logistics – historical timeline and etymology" (PDF). Technical Gazette. 18 (3). S2CID 42097070. Archived from the original (PDF) on 9 March 2019.

tinbergen.nl (Global: low place; English: low place)

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Cramer 2002, pp. 3–5. Cramer, J. S. (2002). The origins of logistic regression (PDF) (Technical report). Vol. 119. Tinbergen Institute. pp. 167–178. doi:10.2139/ssrn.360300.

uni-goettingen.de (Global: 2,594^th place; English: 2,546^th place)

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Verhulst, Pierre-François (1845). "Recherches mathématiques sur la loi d'accroissement de la population" [Mathematical Researches into the Law of Population Growth Increase]. Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-Lettres de Bruxelles. 18: 8. Retrieved 18 February 2013. Nous donnerons le nom de logistique à la courbe [We will give the name logistic to the curve]
Verhulst, Pierre-François (1847). "Deuxième mémoire sur la loi d'accroissement de la population". Mémoires de l'Académie Royale des Sciences, des Lettres et des Beaux-Arts de Belgique. 20: 1–32. doi:10.3406/marb.1847.3457. Retrieved 18 February 2013.

web.archive.org (Global: 1^st place; English: 1^st place)

"expit {clusterPower}". inside-R. Revolution Analytics. Archived from the original on 7 May 2016.
Tepic, J.; Tanackov, I.; Stojić, Gordan (2011). "Ancient logistics – historical timeline and etymology" (PDF). Technical Gazette. 18 (3). S2CID 42097070. Archived from the original (PDF) on 9 March 2019.
LeCun, Y.; Bottou, L.; Orr, G.; Muller, K. (1998). "Efficient BackProp" (PDF). In Orr, G.; Muller, K. (eds.). Neural Networks: Tricks of the trade. Springer. ISBN 3-540-65311-2. Archived from the original (PDF) on 31 August 2018. Retrieved 16 September 2009.

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Griffiths, Graham; Schiesser, William (2009). "Linear and nonlinear waves". Scholarpedia. 4 (7): 4308. Bibcode:2009SchpJ...4.4308G. doi:10.4249/scholarpedia.4308. ISSN 1941-6016.

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Worldometer: COVID-19 CORONAVIRUS PANDEMIC

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A. G. McKendricka; M. Kesava Paia1 (January 1912). "XLV.—The Rate of Multiplication of Micro-organisms: A Mathematical Study". Proceedings of the Royal Society of Edinburgh. 31: 649–653. doi:10.1017/S0370164600025426.{{cite journal}}: CS1 maint: numeric names: authors list (link)

Logistic function (English Wikipedia)

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